16 citations · 44 across the 4 of their papers we have counts for
4 papers · 1 filter
Counting generalized Reed-Solomon codes
Peter Beelen, David Glynn, Tom Høholdt +1
In this article we count the number of generalized Reed-Solomon (GRS) codes of dimension k and length n, including the codes coming from a non-degenerate conic plus nucleus. We com…
On Rational-Interpolation Based List-Decoding and List-Decoding Binary Goppa Codes
Peter Beelen, Tom Høholdt, Johan S. R. Nielsen +1
We derive the Wu list-decoding algorithm for Generalised Reed-Solomon (GRS) codes by using Gröbner bases over modules and the Euclidean algorithm (EA) as the initial algorithm inst…
Duals of Affine Grassmann Codes and their Relatives
Peter Beelen, Sudhir R. Ghorpade, Tom Hoeholdt
Affine Grassmann codes are a variant of generalized Reed-Muller codes and are closely related to Grassmann codes. These codes were introduced in a recent work [2]. Here we consider…
Affine Grassmann Codes
Peter Beelen, Sudhir R. Ghorpade, Tom Hoeholdt
We consider a new class of linear codes, called affine Grassmann codes. These can be viewed as a variant of generalized Reed-Muller codes and are closely related to Grassmann codes…